A Manager Wishes to Build a 3-Sigma Range Chart for a Process

question 51

Multiple Choice

A manager wishes to build a 3-sigma range chart for a process. The sample size is five, the mean of sample means is 16.01, and the average range is 5.3. From Table S6.1 in the text, the appropriate value of D₃ is 0, and D₄ is 2.115. The UCL and LCL for this range chart are

• A) 33.9 and 11.2.
• B) 33.9 and 0.
• C) 11.2 and 0.
• D) 6.3 and 0.
• E) 31.91 and 0.11.

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Definitions:

Milky Appearance

Describes a condition where a normally transparent or semi-transparent fluid, like oil or hydraulic fluid, has become cloudy, often due to contamination with water.

Aeration

The blending of a gas into a liquid such as the mixing of air into oil by the churning action of rotating gears.

Contamination

The presence of unwanted substances or impurities in a material or environment, which can degrade quality or performance.

Single Acting Cylinder

A type of hydraulic cylinder that is powered in one direction only, typically by pressurized fluid, and returns to its original position by an external force like gravity or a spring.